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The Supremum and Infimum of the Set of Fuzzy Numbers and Its Application

โœ Scribed by Wu Congxin; Wu Cong

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
204 KB
Volume
210
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper, we prove that the bounded set of fuzzy numbers must exist supremum and infimum and give the concrete representation of supremum and infimum. As an application, we obtain that the continuous fuzzy-valued function on a closed interval exists supremum and infimum and give the precise representation. We also show that the bounded fuzzy-valued function on a closed interval can define the lower and upper sums and the lower and upper integrals of Riemann and RiemannแŽStieltjes by the usual way. แฎŠ 1997 Academic Press * The authors are supported by The Special Fund of China for Ph.D. instructors in Universities.

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